Design And Analysis Of Distributed Optimal Controllers For Nonlinear Time-delay Systems

Distributed optimal control has developed rapidly in recent years because that it can make full use of the communication and cooperation between the various controllers to reduce the calculation burden.Most systems are linear systems or nonlinear systems.However the sys-tem is often affected by time-delay in practical applications,which brings great difficulties to the study of control problems.Therefore,it is necessary to study the problem of distributed optimal control for nonlinear time-delay systems.In this paper,for several classes of non-linear systems with time-delay,the design method of distributed optimal control scheme to ensure system stability is proposed by using Lyapunov-Razumikhin condition.The main idea of this paper can be summed up as the following three parts:Firstly,this part is focused on a kind of distributed optimal control design for a class of nonlinear time-delay systems.A bounded controller is designed to make nominal system stable.Then,a distributed optimal controller which can satisfy input constraint is designed based on bounded stabilization controller.Finally,a sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate Lyapunov-Razumikhin condition.The stability of the system is proved.Secondly,this part is focused on distributed optimal control design for a class of non-linear time-delay systems subject to delay measurement and communication disturbance.A bounded controller is designed to make nominal system stable.The model of time-delay measurement and communication disturbance are also described.Then,a distributed opti-mal controller which can satisfy input constraint is designed based on bounded stabilization controller.Finally,a sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate Lyapunov-Razumikhin condition.The stability of the system is proved.Thirdly,this part is focused on distributed optimal control design for a class of switched nonlinear time-delay systems with a prescribed switching sequence.A bounded controller is designed to make nominal system stable for each mode of nominal system.Then,a dis-tributed optimal controller which can satisfy input constraint is designed based on bounded stabilization controller.Finally,a sufficient condition to guarantee ultimate boundedness of the system is given based on appropriate Lyapunov-Razumikhin condition.The stability of the system is proved.